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1213627364420 = 225316765344741
BaseRepresentation
bin10001101010010001110…
…100111111010001000100
311022000120202222221122012
4101222101310333101010
5124341002101130140
62325311022153352
7153452550250322
oct21522164772104
94260522887565
101213627364420
1142877300a739
12177261422858
138a5a1946753
1442a50320d12
1521881263265
hex11a91d3f444

1213627364420 has 96 divisors (see below), whose sum is σ = 2674245805056. Its totient is φ = 462060403200.

The previous prime is 1213627364387. The next prime is 1213627364429. The reversal of 1213627364420 is 244637263121.

It is not an unprimeable number, because it can be changed into a prime (1213627364429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27103250 + ... + 27147990.

It is an arithmetic number, because the mean of its divisors is an integer number (27856727136).

Almost surely, 21213627364420 is an apocalyptic number.

1213627364420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1213627364420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1337122902528).

1213627364420 is an abundant number, since it is smaller than the sum of its proper divisors (1460618440636).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1213627364420 is a wasteful number, since it uses less digits than its factorization.

1213627364420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45501 (or 45499 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 41.

The spelling of 1213627364420 in words is "one trillion, two hundred thirteen billion, six hundred twenty-seven million, three hundred sixty-four thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 31 62 67 124 134 155 268 310 335 620 653 670 1306 1340 2077 2612 3265 4154 6530 8308 10385 13060 20243 20770 40486 41540 43751 44741 80972 87502 89482 101215 175004 178964 202430 218755 223705 404860 437510 447410 875020 894820 1356281 1386971 2712562 2773942 2997647 5425124 5547884 5995294 6781405 6934855 11990588 13562810 13869710 14988235 27125620 27739420 29215873 29976470 58431746 59952940 92927057 116863492 146079365 185854114 292158730 371708228 464635285 584317460 905692063 929270570 1811384126 1858541140 1957463491 3622768252 3914926982 4528460315 7829853964 9056920630 9787317455 18113841260 19574634910 39149269820 60681368221 121362736442 242725472884 303406841105 606813682210 1213627364420